2. [3 points] A researcher wants to study the changes in sales of three brands in detergent category. Assume the market is made up of three detergent brands-A, B and C. Also, assume every respondent buys exactly one unit of the product in each period. a) Using the following consumer panel data, construct a transition table (2 points). 2 3 4 5 6 7 8 9 10 11 ID 1 12 13 14 15 2021 2021 A A A A A A A A A A A A A B B A B C Total 2022 A A A A AA A A A A B B C B B A ID 16 17 18 19 20 21 222 25 26 27 28 29 30 B 2022 2021 B B B B B B B C C C 30 C C C C C C Total 2022 B B B C C A A C C C C C C A A b) Market share of A in 2021 based on this panel data: ( Market share of C in 2022 based on this panel data: ( ) (0.2 point) ) (0.2 point) c) What percentage of individuals in total switched brands between periods 2021 and 2022? (0.2 point) d) Which brand exhibited the worst loyalty performance (hint: calculate retention rates)? Show your calculations. (0.4 point)